The first step to test basic connectivity on a server is to use the ping command.
ping [insert hostname or ip]
ping sends a simple ICMP packet to the system you name until you stop with a Control+C key combo. The number of tests can be limited with a -c(#) option.
Example: ping -c 5 hostname
The next step is to use the traceroute command, which sends a series of 3 test packets to each computer, between your system and a specified target system. Like so:
traceroute -n 10.1.0.4
If you are able to receive a connection from the system you're testing, it's good to go. If not, preform your standard troublshooting protocols.